Lubna 7 answers
You have a 3-litre bottle and a 5-litre bottle. How can you measure 4 litres of water by using 3L and 5L bottles?
Lucy
222 answers
Hey, I have a problem-solving question. Thanks for any help!
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Answers
Hui Wen Pang
1. Fill the 5-liter bottle to the top.
2. Pour from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. Now, the 5-liter bottle has 2 liters left.
3. Empty the 3-liter bottle.
4. Pour the 2 liters from the 5-liter bottle into the 3-liter bottle.
5. Fill the 5-liter bottle again.
6. Pour from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full (which means you'll add just 1 liter to the 2 liters already there).
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Alwar Ramani
Fill up the 5- litre bottle, the from this fill the 3-litre bottle, you will end up in 2 litres of water in the 5-litre bottle. Repeat this process twice you will 4 litres of water.
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I would fill up the 5L bottle to the top, and use that to fill the 3L bottle. When the 3L bottle is full, 2L should remain in the 5L bottle because 5-3 = 2.
Put that water into another container and repeat by filling 5, pouring into 3 and remaining with 2.
2L + 2L = 4L of water!
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Firstly, fill the 3-litre bottle completely and pour its whole content into the 5-litre bottle. Then fill the 3-litre bottle again and pour its content into the 5-litre bottle as much as possible. This is how there will be one litre remaining in the 3-litre bottle. Now empty the 5-litre bottle and pour the remaining litre into it. Fill the 3-litre bottle for the last time and pour its whole content into the 5-litre bottle. Finally you will have gotten four litres inside the 5-litre bottle.
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Narmadhadevi Palaniappan
Fill 5-liter bottle and then pour 3 l to the next bottle leaving 2 l. Empty 3l and fill the remaining 2 l . Now 5 l bottle is empty . Again fill 5 l and pour 1 l to 3 l bottle . Now the 5 l pot has 4 l in it.
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You have a 3-liter bottle and a 5-liter bottle.
You need to measure 4 liters of water by using 3L and 5L bottles
Now, fill the 5-litre bottle.
So, pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. This leaves you with 2 liters of water in the 5-litre bottle.
Now, empty the 3-litre bottle.
Pour the 2 litres of water from the 5-litre bottle into the 3-litre bottle.
Now, fill the 5-litre bottle again.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. Since the 3-liter bottle already has 2 liters, you can only add 1 more liter from the 5-liter bottle.
Now, the 5-liter bottle has exactly 4 liters of water left.
You've measured exactly 4 liters of water.
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You can measure exactly 4 litres of water using a 3-litre bottle and a 5-litre bottle with the following steps:
1. Fill the 5-litre bottle completely.
2. Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. This leaves you with 2 litres of water in the 5-litre bottle.
3. Empty the 3-litre bottle.
4. Pour the 2 litres of water from the 5-litre bottle into the 3-litre bottle.
5. Fill the 5-litre bottle again completely.
6. Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. Since there are already 2 litres in the 3-litre bottle, you will need only 1 litre more to fill it.
7. This action leaves exactly 4 litres of water in the 5-litre bottle.
you now have 4 litres of water in the 5-litre bottle.
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Fill the 5-liter bottle.
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full.
Now, the 5-liter bottle has 2 liters left.
Empty the 3-liter bottle.
Pour the 2 liters from the 5-liter bottle into the 3-liter bottle.
Fill the 5-liter bottle again.
Slowly pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full.
Since the 3-liter bottle already has 2 liters, you can only pour 1 more liter into it.
Now, the 5-liter bottle has exactly 4 liters of water!
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Take 5litre bottle pour the water completely.
Then transfer the water to 3 Litres bottle to fill it.
Again remove the water from 3 Litre bottle and fill the remaining 2 litres from 5 litre bottle.
Now fill 5Litre bottle again and transfer the water to 3 litre bottle to fill it.
Now the 3 litre bottle is full with 3 litre water and 5 litre bottle has 4 litre water.
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Fill the 5-litre bottle to the top.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. This leaves you with 2 litres of water in the 5-litre bottle.
Empty the 3-litre bottle.
Pour the 2 litres of water from the 5-litre bottle into the 3-litre bottle.
Fill the 5-litre bottle to the top again.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. Since the 3-litre bottle already contains 2 litres, you can only add 1 more litre.
Now, 1 litre is left in the 5-litre bottle.
Empty the 3-litre bottle again.
Pour the 1 litre from the 5-litre bottle into the 3-litre bottle.
Fill the 5-litre bottle to the top one last time.
Finally, pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. You had 1 litre in the 3-litre bottle, so you pour in 2 litres more. This leaves exactly 4 litres in the 5-litre bottle.
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The most simplistic way would be to fill each bottle half way. Half of the 3L will be 1.5L and half of the 5L will be 2.5L. Add these two amounts together and the result will be 4L.
1.5L + 2.5L = 4L
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Measure 5L and take away 3L to get 2L, them repeat the process to get another 2L. Add both 2Ls together to obtain 4litees.
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Fill the 5-liter bottle completely.
Pour the water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. This leaves 2 liters of water in the 5-liter bottle.
Empty the 3-liter bottle.
Pour the 2 liters from the 5-liter bottle into the 3-liter bottle.
Fill the 5-liter bottle completely again.
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. Since the 3-liter bottle already had 2 liters, you'll only be able to pour 1 liter more, leaving 4 liters of water in the 5-liter bottle.
Now you have 4 liters of water in the 5-liter bottle.
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5L -3L = 2L that’s how much litre is in the 5 litre bottle after pouring it in to the 3liter bottle.
Then do it twice so: (5L- 3L) x 2= 4L so both of the 5 litre bottles contain 2 L of water so it’s makes 4 L basically adding them together 2L + 2L = 4L
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Fill 5-litre bottle, pour it into 3-litre one. You have 2 litre left inside 5 litre bottle. Empty 3 litre bottle. Put 2 litre water from 5 litre bottle into 3 litre bottle, you have space of 1 litre. Fill 5 litre bottle again. And Start pouring into smaller bottle. When it's full you have 4 litres in big bottle
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Add two bottles of 5 litre 5+5=10
Take back two bottles of 3 litre 3+3=6
Means 10-6= 4 litre remains
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Fill the 5L
Pour into 3L
So now 3L=3L and 5L = 2L
Empty 3L
So now 3L= 0L and 5L = 2L
Pour 2L from 5L into 3L
So now 3L= 2L and 5L = 0L
Fill 5L
So now 3L= 2L and 5L = 5L
Pour 1L from 5L to fill the 3L
So now 3L= 3L and 5L = 4L
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Raunak
I would first goll up the 5- litre bottle, now from this I’ll fill the 3-litre bottle, you will end up in 2 litres of water in the 5-litre bottle. Repeat this process twice you will 4 litres of water.
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First, fill the 3-litre bottle completely and pour it into the 5-litre bottle. Repeat this process. Since the 5-litre bottle can now only hold 2 more litres, 1 litre will remain in the 3-litre bottle. Next, empty the 5-litre bottle and pour the remaining 1 litre from the 3-litre bottle into the just emptied 5-litre bottle. Finally, refill the 3-litre bottle and pour it into the 5-litre bottle, which already contains 1 litre. This will bring the total to 4 litres in the 5-litre bottle.
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Fill the 5L to the top.
Then pour from the 5L to the 3L.
Once the 3L is full there will be 2L left in the 5L bottle.
Now empty the 3L bottle and pour the 2L from the 5L bottle into the 3L bottle. There is still space for 1L in the 3L bottle.
Now fill the 5L to the top and pour into the 3L bottle.
The 3L bottle had space for 1L so when it gets full, 1L has gone from the 5L to the 3L bottle and 4L is left in the 5L bottle.
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Shoaib Assar
Fill up a 5L bottle with water and pour the water into a 3L(Fill up completely) bottle. Then you left with 2L water in a 5L bottle, then double up the water to get 4L water.
5L - 3L = 2L
2L × 2 = 4L
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Lucy it's just tricky.
It is so simple .
I explain you in simple steps.
To measure 4 liters of water using a 3-liter and a 5-liter bottle, follow these steps:
1. Fill the 5-liter bottle completely with water.
2. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full, leaving 2 liters remaining in the 5-liter bottle.
3. Empty the 3-liter bottle.
4. Pour the remaining 2 liters from the 5-liter bottle into the 3-liter bottle.
5. Fill the 5-liter bottle again with water.
6. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full, which will leave exactly 4 liters in the 5-liter bottle.
Now, you have measured 4 liters of water using the 3-liter and 5-liter bottles!
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To measure 4 liters of water using a 3-liter and a 5-liter bottle, fill the 5-liter bottle completely. Then pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. You’ll have 2 liters left in the 5-liter bottle. Empty the 3-liter bottle and pour the 2 liters from the 5-liter bottle into the 3-liter bottle. Next, fill the 5-liter bottle again and pour water into the 3-liter bottle until it’s full. You will end up with exactly 4 liters of water remaining in the 5-liter bottle.
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Felix
Fill half of the 3 litre bottle and half of the 5 litre bottle and pour them into a bucket. 2.5 + 1.5 = 4 litres
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Abjunior mnea
Add 1/2 of 3 litres and 1/2 of 5 litres.
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Nuri
To measure exactly 4 liters using only a 5-liter bottle and a 3-liter bottle, follow these steps:
1. **Fill the 5-liter bottle completely.**
- Now you have 5 liters in the 5-liter bottle, and the 3-liter bottle is empty.
2. **Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full.**
- You will have 2 liters left in the 5-liter bottle (since 5 - 3 = 2).
3. **Empty the 3-liter bottle.**
- The 5-liter bottle still has 2 liters, and the 3-liter bottle is empty.
4. **Pour the 2 liters from the 5-liter bottle into the 3-liter bottle.**
- Now the 3-liter bottle has 2 liters, and the 5-liter bottle is empty.
5. **Fill the 5-liter bottle completely again.**
- You now have 5 liters in the 5-liter bottle and 2 liters in the 3-liter bottle.
6. **Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full.**
- The 3-liter bottle already has 2 liters, so it can only hold 1 more liter (since 3 - 2 = 1). This leaves exactly 4 liters in the 5-liter bottle.
Now you have exactly 4 liters of water in the 5-liter bottle.
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Matthew Ferry
Fill up a 3 litre bottle then pour it into the 5 litre one.
Refill the 3 litre bottle then pour it into the 5 litre bottle. Now because you can only pour 2 more litres into the 5 litre bottle this means that you are left with a full litre.
Now pour out all the water in the 5 litre bottle. Then fill the 1 litre into the 5 litre bottle.
Then fill up the 3 litre bottle and then pour it into the 5 litre bottle. Tada 4 litres are in the 5 litre bottle
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Sam
Measure 5 full bottles of 5L to give 25L in total, then remove 7 full bottles of the 3L to remove 21L accurately leaving 4L
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Fill the 3l, pour the 3l into the empty 5l, fill the 3l again, pour the 3l into the 5l until it's full leaving 1l in the 3l bottle. Empty the 5l pour the 1l into the 5l region the 3l and empty into the 5l and you have 4l
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Jeffrey Chimwanda
Hi,
Measure 2x 5L of water to make 10 L. From that 10L remove 2x3L. What remains is 4L
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Using my steps
1. Fill the 5-litre bottle completely.
2. Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full, leaving 2 litres in the 5-litre bottle.
3. Empty the water from the 3-litre bottle.
4. Pour the remaining 2 litres from the 5-litre bottle into the empty 3-litre bottle.
5. Fill the 5-litre bottle again.
6. Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full, which will leave exactly 4 litres of water in the 5-litre bottle.
So, by using these steps, you can measure 4 litres of water using a 3-litre bottle and a 5-litre bottle.
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i. Fill the 5-liter bottle to the top. Now you have 5 liters in the 5-liter bottle and 0 liters in the 3-liter bottle.
ii. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. This leaves you with 2 liters of water in the 5-liter bottle (since 5 - 3 = 2) and 3 liters in the 3-liter bottle.
iii. Empty the 3-liter bottle. Now you have 2 liters in the 5-liter bottle and 0 liters in the 3-liter bottle.
iv. Pour the 2 liters of water from the 5-liter bottle into the 3-liter bottle. Now you have 2 liters in the 3-liter bottle and 0 liters in the 5-liter bottle.
v. Fill the 5-liter bottle to the top again. Now you have 5 liters in the 5-liter bottle and 2 liters in the 3-liter bottle.
vi. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. The 3-liter bottle already has 2 liters, so it can take 1 more liter from the 5-liter bottle. After pouring, you will have exactly 4 liters remaining in the 5-liter bottle.
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Eduard Büchner
Verified Tutor
You can fill the 5 l bottel then empty it into the 3 l then you have 2 l left in the 5 l bottel. You repeat this process twice then you have measured 4l in total
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Fill the 5 litre bottle. Pour the water in the 5 litre bottle into the 3 litre bottle to fill it. You now have 2 litres in the 5 litre bottle. Repeat this process to measure another 2 litres. Now you have 4!
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Fill up the 5- litre bottle, the from this fill the 3-litre bottle, you will end up in 2 litres of water in the 5-litre bottle. Repeat this process again you will 4 litres of water.
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Tahira Parveen
Hopefully the bottles show measurement point for 1 litre each and are empty. Fill the three kg bottle first. Put the remaining liquid in 5kg bottle, it will show 1kg measurement.
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Abdullah
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Assuming you had another container to store the water:
Add 5 litres water into 5 litre bottle and empty 3 litre bottle into another container
Pour the water from the 5 litre bottle into the 3 litre bottle to full. The 5 litre bottle should now have 2 litres of water in it.
Pour the water in the 3 litre bottle into another separate container and transfer the 2 litres from the 5 litre bottle to the 3 litre bottle.
Fill the 5 litre bottle full and pour it into the 3 litre bottle until it becomes full. The 5 litre bottle should now have 4 litres of water.
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Jatari Timothy Efere
Combining the Half's (1/2) of both 3L and 5L bottles gives 4L.
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Mohit kumar
Empty the 3-liter bowl, and then transfer the 2 liters from the 5-liter bowl into it. Now fill the 5-liter bowl again, then pour water carefully from the 5-liter bowl into the 3-liter bowl until it is full - exactly one more liter. The 5-liter bowl now has exactly 4 liters.
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Hi Lucy,
Here a solution for you.
1) Fill up the 5 litre bottle and pour it into the 3 litre bottle. Now you have 2 litres left in the 5 litre bottle.
2) Empty the 3 litre bottle. So now you only have 2 litres in the 5 litre bottle.
3) Pour the 2 litres into the 3 litre bottle and refill the 5 litre bottle to the top. So now you have 2 litres in the 3 litre bottle and a full 5 litre bottle.
4) Now pour the 5 litre bottle into the 3 litre bottle to fill it up and BINGO! This will leave 4 litres in the 5 litre bottle.
Regards
Fiona
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Fill the 5 litre bottle with water
Fill the 3 litre bottle with water from the 5litre bottle
Leaving 2L of water in the 5L bottle
Empty the 3L bottle and pour the 2L of water from the 5L bottle
Refill the 5L bottle
Fill the 3L bottle and since it has 2L of water it only needs 1L to get full leaving 4litres of water in the 5L bottle.
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Fiona
5 litre - 3 litre = 2 Litre
2 litre x2 = 4l
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You can measure 4 liters of water using the 3-liter and 5-liter bottles by following these steps:
Fill the 5-liter bottle completely (now you have 5 liters in the 5-liter bottle).
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full.
Now, you have 3 liters in the 3-liter bottle and 2 liters left in the 5-liter bottle.
Empty the 3-liter bottle.
Pour the remaining 2 liters from the 5-liter bottle into the 3-liter bottle.
Now, the 3-liter bottle has 2 liters in it.
Fill the 5-liter bottle completely again.
Pour water from the 5-liter bottle into the 3-liter bottle (which already has 2 liters) until the 3-liter bottle is full.
Since the 3-liter bottle already has 2 liters, you can only add 1 more liter from the 5-liter bottle, leaving exactly 4 liters in the 5-liter bottle.
Now, you have successfully measured 4 liters of water.
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Omer
First fill the 5L bottle and pour it into empty 3L bottle. Then you will have remaining 2L water in the 5L bottle. Put the 2L water in a separate container. Again fill 5L bottle and pour it into empty 3L bottle, and you will have remaining 2L water in the 5L bottle. You can add this 2L to the 2L you get in the first process to get total 4L of water.
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Jobanjit kaur Gill
1. Fill 5L bottle
2. Fill 3L bottle from the 5L bottle. 5L bottle has 2L water left.
3. Empty out the 3L bottle & pour the 2L water from 5L bottle into 3L bottle.
4.
Refill the 5L bottle again.
5. Pour out 1L water from 5L bottle into 3L bottle to fill it.
6. Water left in 5L bottle is 4L quantity.
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Fill 5L, pour to 3L (2L left), empty 3L, pour 2L to 3L, fill 5L, pour to 3L (4L left in 5L).
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5L-3L=2L(remaining difference between both)
Next you can solve it by one method
2L/2 and add into of 3L
You can get their required answer.
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You can measure 4 litres of water using the 3-litre and 5-litre bottles with the following steps:
Fill the 5-litre bottle completely: Now you have 5 litres of water in the 5-litre bottle.
Pour water from the 5-litre bottle into the 3-litre bottle: This will leave 2 litres of water in the 5-litre bottle because the 3-litre bottle can only hold 3 litres.
Empty the 3-litre bottle: Now, the 3-litre bottle is empty, and the 5-litre bottle still has 2 litres of water.
Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle: Now the 3-litre bottle has 2 litres of water.
Fill the 5-litre bottle again completely: Now you have 5 litres of water in the 5-litre bottle.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full: The 3-litre bottle already has 2 litres, so it can only take 1 more litre. After this step, the 5-litre bottle will have exactly 4 litres of water left.
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1. **Fill the 5-liter bottle completely**: Now, you have 5 liters in the 5-liter bottle and 0 liters in the 3-liter bottle.
2. **Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full**: After this step, you will have 3 liters in the 3-liter bottle and 2 liters remaining in the 5-liter bottle.
3. **Empty the 3-liter bottle**: Now, you have 0 liters in the 3-liter bottle and 2 liters in the 5-liter bottle.
4. **Transfer the 2 liters from the 5-liter bottle to the 3-liter bottle**: Now, the 5-liter bottle is empty, and the 3-liter bottle has 2 liters.
5. **Fill the 5-liter bottle again**: Now, you have 5 liters in the 5-liter bottle and 2 liters in the 3-liter bottle.
6. **Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full**: Since the 3-liter bottle already has 2 liters, it can only take 1 more liter. After this step, the 3-liter bottle is full with 3 liters, and there are exactly 4 liters remaining in the 5-liter bottle.
Now, you have exactly 4 liters of water in the 5-liter bottle.
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Komal Mandhare
Fill 5L. Pour 5L into 3L (2L left).Empty 3L.Pour 2L into 3L.Refill 5L.Fill 3L to full (4L left in 5L)
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Sarah Jenkins
Verified Tutor
Fill the 5L bottle, and pour water from the 5L to the 3L until the 3L is full.
Empty the 3L bottle completely, then pour the remaining 2L of water from the 5L bottle into the 3L bottle.
Fill up the 5L bottle again so it's full, then pour enough from the 5L into the 3L so the 3L is full. You'll then have 4L remaining in the 5L bottle.
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You can measure exactly 4 litres of water using the 3-litre and 5-litre bottles by following these steps:
Fill the 5-litre bottle, and pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full: Since the 3-litre bottle can only hold 3 litres, you will have 2 litres of water left in the 5-litre bottle.
Empty the 3-litre bottle: The 3-litre bottle is now empty, and you still have 2 litres of water in the 5-litre bottle.
Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle: Now, the 3-litre bottle contains 2 litres of water.
Fill the 5-litre bottle again: The 5-litre bottle now has 5 litres of water.
Pour water from the 5-litre bottle into the 3-litre bottle until it is full: Since the 3-litre bottle already has 2 litres, it can only take 1 more litre. When you add 1 litre to the 3-litre bottle, you'll have 4 litres left in the 5-litre bottle.
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Sabiha Sultana
Pour water in 5 litre and pour in 3 litre bottle, 5 litre remaining water is 2 litres. Do this process 2 times and get 4 litres.
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Victoria Okanlawon
Add 3l and 5l to get 8l and divide into half.
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Fill the 3L bottle to the top. Pour the 3L into the 5L bottle. Fill the 3L bottle again. Pour the 3L bottle into the 5L bottle until the 5L bottle is full. You now have 1L left in the 3L bottle. Empty the 5L bottle and pour that 1L into the 5L bottle. Fill the 3L bottle and add that to the 5L bottle. You now have 4L in the 5L bottle.
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Joanne Holloway
Easiest way is to fill 5L to the top. Tip into 3L container and you have 2L remaining. Pour away the 3L and pour the remaining 2L into the 3L container. Refill the 5L and pour 1L into the 3L container which will fill it leaving 4L in the 5L container.
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Daniel Simpson
Fill the 5L botle with water.
Pour water from the 5L bottle to the 3L bottle until the 3L bottle is full.
You have 2 litres left in the 5L bottle.
Empty the 3L bottle.
Pour the 2 litres from the 5L bottle into the 3L bottle.
Fill the 5L bottle again.
Pour water from the 5L bottle to the 3L bottle until it is full.
The remaining water in the 5L bottle is 4 litres.
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Fill the 5-liter bottle completely.
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. This leaves 2 liters in the 5-liter bottle.
Empty the 3-liter bottle.
Pour the 2 liters from the 5-liter bottle into the 3-liter bottle.
Fill the 5-liter bottle again.
Pour water from the 5-liter bottle into the 3-liter bottle until it's full. Since there are already 2 liters in the 3-liter bottle, you'll pour in 1 more liter, leaving exactly 4 liters in the 5-liter bottle.
Now you have 4 liters in the 5-liter bottle!
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You aim to get the number 4 by adding and subtracting 5 and 3.
The easiest way to do it is 4 = (5 - 3) + (5 - 3). The brackets are around what equals filling a 3L bottle from a 5L bottle, leaving 2L in the 5L bottle. Doing this twice gets you 2L+2L=4L.
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You can either double each number and minus 6 from 10 or you can do 5 minus 3 twice to get 4.
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To measure 4 litres of water using a 3-litre and a 5-litre bottle, follow these steps:
1. Fill the 5-litre bottle completely.
2. Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full, leaving 2 litres remaining in the 5-litre bottle.
3. Empty the 3-litre bottle.
4. Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle.
5. Fill the 5-litre bottle again.
6. Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full, which will leave exactly 4 litres in the 5-litre bottle.
Now, you have measured 4 litres of water using the 3-litre and 5-litre bottles!
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Gayathri
Fill up the 5 litre bottle and using the bottle pour 1 litre of water into 3 litres. You are left with 1 litre.
Fill 5 litre bottle and use that to fill up 3 litres. You are left with 2 litres of water repeat this twice inorder to get 4 litres of water.
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Fill 5L, transfer 3L, repeat, transfer 1L, fill 5L, top up 3L. 5L has 4L.
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To measure 4 litres of water using a 3-litre and a 5-litre bottle:
1. Fill the 5-litre bottle to the top.
2. Pour water from the 5-litre bottle into the 3-litre bottle until it is full, leaving 2 litres in the 5-litre bottle.
3. Empty the 3-litre bottle.
4. Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle.
5. Fill the 5-litre bottle to the top again.
6. Pour water from the 5-litre bottle into the 3-litre bottle until it is full. This will fill the 3-litre bottle to its maximum capacity, leaving exactly 4 litres of water in the 5-litre bottle.
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Angela Black
Verified Tutor
3L + 5L = 8L
4L is half of 8L so the easiest way to find 4L is to fill each bottle half way.
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Saeed Omar
1- Fill 5 L bottle by water
2- Pour water from 5L bottle to 3L bottle, the rest will be 2L
3- Drop all water from 3L bottle
4- Pour the 2L of water from the 5L bottle to 3L bottle
5- Fill 5L bottle by water
6- Pour water from 5L bottle to 3L bottle, the poured water will be 1L only and the rest will be 4L of water in 5L bottle
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Mustafa
fill 3l bottle and pour into 5l bottle ,
again fill 3L bottle and fill into same 5L bottle as it already contain 3 L so it took only 2L to fill so 1L is in the 3L bottle.
now empty the 5 L bottle and pour 1L into 5L bottle which you have in 3L bottle .
now fill once 3L bottle full and pour into same 5L bottle.
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Aryan Deep
Fill the 5-litre bottle completely.
Now you have 5 litres of water in the 5-litre bottle.Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full.
This will leave you with 2 litres of water in the 5-litre bottle (because 5L - 3L = 2L).
Empty the 3-litre bottle.
Now the 3-litre bottle is empty again.Pour the remaining 2 litres of water from the 5-litre bottle into the 3-litre bottle.
Now the 3-litre bottle has 2 litres of water, and the 5-litre bottle is empty.
Fill the 5-litre bottle again.
Now you have 5 litres of water in the 5-litre bottle.Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full.
Since the 3-litre bottle already contains 2 litres of water, you can only add 1 more litre to fill it up.
This leaves exactly 4 litres of water in the 5-litre bottle (because 5L - 1L = 4L).
Now you have exactly 4 litres of water in the 5-litre bottle.
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Muhammad Bilal
Follow the steps for solution
1. Fill 5 liters in 5L bottle
2. Pour 3 liters of 5L bottle to 3L bottle (2 liters will be left in 5L bottle)
3. Empty 3L bottle
4. Pour the remaining 2 liters in 5L bottle to 3L bottle. 3L bottle will have 2 liters and 5L will have 0 liters at this stage
5. Repeat step 1 (Result 2 liters in 3L bottle and 5 liters in 5L bottle)
6. 3L bottle has one liter space that can be poured from 5L bottle. (After this pouring, 5L bottle will have 4 liters)
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Josphat Maina
Verified Tutor
To measure 4 liters of water using a 3-liter and a 5-liter bottle, start by filling the 5-liter bottle completely. Next, pour water from the 5-liter bottle into the 3-liter bottle until it’s full, leaving exactly 2 liters in the 5-liter bottle. Empty the 3-liter bottle and transfer the remaining 2 liters from the 5-liter bottle into the 3-liter bottle. Refill the 5-liter bottle fully and pour water into the 3-liter bottle until it’s full again, which only requires 1 liter. The 5-liter bottle now has exactly 4 liters of water left.
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First fill up the 5 litre bottle and transfer 3 litres to the 3 litre bottle after which you’ll empty out the 3 litre bottle. You are now left with the 3 litre bottle empty and the 5 litre bottle has 2 litres of water in it
Then transfer those two litres to the 3 litre bottle and then fill up the 5 litre bottle. You now have 2 litres in the 3 litre bottle and 5 litres in the 5 litre bottle.
The final step is to use the 5 litre bottle to fill up the 3 litre bottle and you’ll have 4 litres left in the 5 litre bottle
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You can measure 4 litres of water using the following steps:
Fill the 5-litre bottle completely.
(Now you have 5 litres in the 5-litre bottle and 0 litres in the 3-litre bottle.)
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full.
(Now you have 2 litres in the 5-litre bottle and 3 litres in the 3-litre bottle.)
Empty the 3-litre bottle.
(Now you have 2 litres in the 5-litre bottle and 0 litres in the 3-litre bottle.)
Pour the 2 litres from the 5-litre bottle into the 3-litre bottle.
(Now you have 0 litres in the 5-litre bottle and 2 litres in the 3-litre bottle.)
Fill the 5-litre bottle again.
(Now you have 5 litres in the 5-litre bottle and 2 litres in the 3-litre bottle.)
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full.
(Now you have 4 litres in the 5-litre bottle and 3 litres in the 3-litre bottle.)
Now, the 5-litre bottle contains exactly 4 litres of water.
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There are two ways to measure 4 litres of water using 3 liter and 5 litres bottles.
1.half fill the 5 liter bottle and half fill 3 liter bottle. Pour the half 3 liter in 5 liter. There will be total 4 liter water in liters bottle.
2. Fill 5 litres bottle and then pour water from 5 liters in to 3 liters. You will have 2 liters in 5 liters bottle. Mark that hight of bottle. Empty 3 liter bottle and pour the remaining 2 liters into 3 liters bottle. Refil the 5 liters bottle upto that mark. It will have 2 liters and pour the remaining 2 liters from 3 liters bottle. You will have 4 liters of water in 5 liters bottle.
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Fill the 5L bottle and pour it into the empty 3L bottle. This leaves 2L in the 5L bottle. Empty the 3L bottle and pour in the 2L in the 5L bottle. Fill the 5L bottle and then fill the remaining 1L space in the 3L bottle, leaving 4L in the 5L bottle.
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Mohammed Suleman Islam
Fill up the 5L bottle and the 3L bottle. Then pour liquid from the 5L bottle into the 3L bottle and when they are both even, that will be the mark for 4L.
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Fill the 5L bottle completely with water. Transfer water from the 5L bottle into the 3L bottle until the 3L bottle fills up. Now empty the 3L bottle. Note that the 5L bottle contains 2L of water. Transfer all the water from the 5L bottle to the 3L bottle. Fill up the 5L bottle completely again. Note again that the 3L bottle contains 2L of water. Now transfer water from the 5L bottle to the 3L bottle until the 3L bottle fills up. Observe that the 5L bottle loses 1L of water. Hence, now the 5L bottle contains 4L of water, as required.
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Here's how you can measure exactly 4 liters of water using the 3-litre and 5-litre bottles:
1. Fill the 5-litre bottle completely (now the 5-litre bottle contains 5 liters of water).
2. Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full.
- This leaves you with 2 liters of water in the 5-litre bottle.
3. Empty the 3-litre bottle (now the 3-litre bottle is empty again).
4. Pour the 2 liters of water remaining in the 5-litre bottle into the 3-litre bottle.
- Now the 3-litre bottle has 2 liters of water, and the 5-litre bottle is empty.
5. Fill the 5-litre bottle again completely (now the 5-litre bottle contains 5 liters of water).
6. Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full.
- Since the 3-litre bottle already contains 2 liters, you can only add 1 more liter to it from the 5-litre bottle.
7. You are now left with exactly 4 liters of water in the 5-litre bottle.
That's how you measure 4 liters using the 3-litre and 5-litre bottles!
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Step 1 : Fill 5L water in 5L bottle and pour into 3L empty bottle. (5L -3L) =2L will left in 5L bottle.
Step 2: Empty 3L bottle.
Step3: Transfer the remaining litres of water (2L) in the 5L bottle into 3L bottle.
Step 4: Refill the 5L bottle again.
Step 5: Now fill the remaining litre in 3L bottle (i. e 1 litre) with the water in completely filled 5L bottle.
Step 6 : Now the 5L bottle will have 4L water remaining.
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You can measure 4 litres of water using the 3-litre and 5-litre bottles with the following steps:
1. **Fill the 5-litre bottle completely.**
- Now you have 5 litres in the 5-litre bottle.
2. **Pour water from the 5-litre bottle into the 3-litre bottle until it is full.**
- After this, the 3-litre bottle will be full, and you’ll have 2 litres left in the 5-litre bottle.
3. **Empty the 3-litre bottle.**
- Now the 3-litre bottle is empty, and you still have 2 litres in the 5-litre bottle.
4. **Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle.**
- Now, the 3-litre bottle contains 2 litres.
5. **Fill the 5-litre bottle again.**
- Now you have 5 litres in the 5-litre bottle.
6. **Pour water from the 5-litre bottle into the 3-litre bottle until it is full.**
- Since the 3-litre bottle already has 2 litres, it can only hold 1 more litre. Pour 1 litre into the 3-litre bottle.
- This will leave you with exactly 4 litres in the 5-litre bottle.
Now, you have successfully measured 4 litres of water using the two bottles!
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Demyan Gibbon
Hi! To do this you need to:
1. Fill 5L bottle with water
2. Fill the 3L bottle full so you have 2L left in 5L bottle
3. Empty out the 3L bottle
4. Pour the 2L of water into 3L bottle
5. Fill 5L bottle with water
6. Fill (2/3) 3L bottle with 1L from 5L bottle
7. Empty 3L bottle
You are now left with 4 litres of water!
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first fill 3l bottles and put into 5l bottles and again do the bottle of 3litter only put 2 litter in 5 litres and 1 litre is left so again fill the 3 liter bottle add into and it returns into 4l
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I'll keep this short and simple
1.Fill the 3 L bottle up and put it into the 5L bottle, now the 5L bottle has 3L in it.
2.Fill the 3 L bottle up again and put it into the 5 L bottle till it reaches the top/5 L, now the 3L bottle has 1 L in it
3. Empty the water from the 5L bottle and fill it with the 1L in the 3L bottle, now the 5 L bottle has 1 L in it
4. Fill up the 3 L bottle one last time and transfer that to the 1 L in the 5L bottle, there's 4L there now.
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Pour water into the 3L bottle and pour it into the 5L. Repeat this step again so that the 5L bottle is full and you have 1L left over in the 3L bottle. You can then dispose of the water in the 5L bottle and put the water from the 3L bottle in the 5L bottle. Then fill the 3L bottle and pour it into the 5L bottle, so the 5L bottle will have 1L from last step + 3L you just added making 4 litres of water.
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Fill the 5L bottle with water and pour the water into the 3L bottle until it is full and the remaining water in the 5L bottle will be 2L
If you repeat twice you get 4 litres of water
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Noreen Abbas
To measure exactly 4 litres of water using a 3-litre bottle and a 5-litre bottle, you can follow these steps:
1. **Fill the 5-litre bottle completely** with water.
2. **Pour water from the 5-litre bottle into the 3-litre bottle** until the 3-litre bottle is full. This will leave you with 2 litres of water in the 5-litre bottle.
3. **Empty the 3-litre bottle**.
4. **Transfer the 2 litres of water from the 5-litre bottle into the 3-litre bottle**.
5. **Refill the 5-litre bottle completely**.
6. Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. Since the 3-litre bottle already has 2 litres in it, you can only add 1 more litre. This will leave exactly 4 litres in the 5-litre bottle,
Now, you have exactly 4 litres of water in the 5-litre bottle!
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Empty the 5 L jug and put the 1 L water into it. Fill the 3 L jug and put that in the 5L jug containing 1 L water. You now have 4 L water.
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1. Fill the 5-liter bottle completely.
2. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. This will leave you with 2 liters of water in the 5-liter bottle.
3. Empty the 3-liter bottle.
4. Pour the 2 liters from the 5-liter bottle into the 3-liter bottle.
5. Fill the 5-liter bottle again.
6. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. Since the 3-liter bottle already has 2 liters, you can only pour in 1 more liter, leaving exactly 4 liters in the 5-liter bottle.
Now, you have exactly 4 liters of water in the 5-liter bottle.
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Priya
First I will fill 5L bottle with water and put 3L water in 3L bottle ..2L water will remain in 5L bottle then repeat same process again and will get 4L water
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Empty the 5 L jug and put the 1 L water into it. Fill the 3 L jug and put that in the 5L jug containing 1 L water. You now have 4 L water.
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You have a 3-liter bottle and a 5-liter bottle. You need to measure 4 liters of water by using 3L and 5L bottles Now, fill the 5-litre bottle. So, pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. This leaves you with 2 liters of water in the 5-litre bottle. Now, empty the 3-litre bottle. Pour the 2 litres of water from the 5-litre bottle into the 3-litre bottle. Now, fill the 5-litre bottle again. Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. Since the 3-liter bottle already has 2 liters, you can only add 1 more liter from the 5-liter bottle. Now, the 5-liter bottle has exactly 4 liters of water left. You've measured exactly 4 liters of water.
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Lawrence Adade Asante
Step 1: Fill the 5-litre bottle completely.
Step 2: Pour the water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. Now, there are 2 litres of water left in the 5-litre bottle.
Step 3: Empty the 3-litre bottle.
Step 4: Pour the 2 litres from the 5-litre bottle into the empty 3-litre bottle.
Step 5: Fill the 5-litre bottle again completely.
Step 6: Pour water from the 5-litre bottle into the 3-litre bottle (which already has 2 litres) until the 3-litre bottle is full. This will take exactly 1 litre from the 5-litre bottle.
Step 7: Now, the 5-litre bottle will have 4 litres of water remaining.
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Eman
1-Fill the 5-litre bottle completely.
2-Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. This leaves you with 2 litres of water in the 5-litre bottle.
3-Empty the 3-litre bottle.
4-Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle.
5-Fill the 5-litre bottle again.
6-Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. Since the 3-litre bottle already has 2 litres, it can only take 1 more litre. This leaves you with exactly 4 litres in the 5-litre bottle.
7-Now, you have 4 litres of water in the 5-litre bottle.
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Fill the 5-liter bottle to the top
Pour from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. Now, the 5-liter bottle has 2 liters left.
Empty the 3-liter bottle.
Pour the 2 liters from the 5-liter bottle into the 3-liter bottle.
Fill the 5-liter bottle again.
Pour from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full
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1. Fill the 5-litre bottle completely.
5 litres in the 5-litre bottle
0 litres in the 3-litre bottle
2. Pour water from the 5-litre bottle into the 3-litre bottle until the
3-litre bottle is full.
2 litres in the 5-litre bottle
3 litres in the 3-litre bottle
3. Empty the 3-litre bottle.
2 litres in the 5-litre bottle
0 litres in the 3-litre bottle
4. Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle.
0 litres in the 5-litre bottle
2 litres in the 3-litre bottle
5. Fill the 5-litre bottle again completely.
5 litres in the 5-litre bottle
2 litres in the 3-litre bottle
6.Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full.
4 litres in the 5-litre bottle
3 litres in the 3-litre bottle
You now have exactly 4 litres of water in the 5-litre bottle.
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Pour the 1 litre from the 3 litre can into the 5 litre can. Fill the 3 litre can from the tap. Empty the contents of the 3 litre can into the 5 litre can. Leaving 4 litres in the 5 litre can.
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Fill the 5 L bottle and empty it into the 3L bottle. 2L will remain in the 5L bottle (5-3=2). Empty the 3L bottle and then fill it with the 2L that were left in the 5L bottle. Now fill the 5L bottle and pour enough water into the 3L bottle to fill it up (3L bottle already has 2L). Only 1L is required (2+1=3). The water that's left in the 5L bottle is 4L since 1L has been poured out. ( 5-1=4)
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Here's how you can measure exactly 4 litres of water using the 3-litre and 5-litre bottles:
1. **Fill the 5-litre bottle completely** so that it contains 5 litres of water.
2. **Pour water from the 5-litre bottle into the 3-litre bottle** until the 3-litre bottle is full. This will leave you with 2 litres of water in the 5-litre bottle.
3. **Empty the 3-litre bottle.**
4. **Pour the 2 litres from the 5-litre bottle into the 3-litre bottle.**
5. **Fill the 5-litre bottle again.**
6. **Pour water from the 5-litre bottle into the 3-litre bottle** until the 3-litre bottle is full. Since the 3-litre bottle already has 2 litres, you can only add 1 more litre from the 5-litre bottle.
Now, exactly **4 litres** of water will remain in the 5-litre bottle.
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Fill the 5-litre bottle completely.Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full.Empty the 3-litre bottle.Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle.Fill the 5-litre bottle again completely.Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full.You now have exactly 4 litres of water in the 5-litre bottle.
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Shakeel Akhtar
Measure half of both bottles which makes (5/2=2.5 liters) and (3/2=2.5 liters) then add them (2.5+1.5=4 liters)
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Fatai Yusuf
5L - 3L = 2L ............... (1)
5L - 3L = 2L ............... (2)
(1) + (2) ................. 4L
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Using half of bothe bottle.From 3L bottle we can measure half of the bottle and take it as 1.5 L and Next Meassure half of 5L bottle and take it as 2.5L in and will take sum of that two bottles half's as 1.5L+2.5L which equals to 4L
((3L÷2) +(5L÷2))=4L
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Fill the 5L bottle with water and pour it in the 3L bottle. Pour the water from the 3L bottle in a bowl and pour the remaining 2L of water left in the 5L bottle into the 3L bottle. Fill the 5L bottle again and pour water into the 3L bottle that already has 2L of water in it to full. The remaining water in the 5L bottle will be 4 litres of water.
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If both bottles are filled pour the water into another sink and you have 8 liters and that twice as much as 4 liters.
Or, fill the three liters bottle to the top and then pour the remaining into the one fifth of the five liters bottle and that would be 4 liters.
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Venkatesh Surapuraju
Fill the 5L bottle, pour into 3L until full, 2L left. Empty 3L, pour remaining 2L into it. Fill 5L again, pour into 3L to make 4L in the 5L bottle.
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Fill the 5L bottle and then from that bottle fill the 3L bottle after that you left with 2 L of water in 5L bottle put that 2L aside and repeat the process again you will get (2 + 2)4Lof water
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First, fill up the 5-liter bottle all the way to the top. Then, pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. This will leave you with 2 liters remaining in the 5-liter bottle.
Next, empty out the 3-liter bottle and fill it with the remaining 2 liters from the 5-liter bottle. Now, fill up the 5-liter bottle again and pour water from it into the 3-liter bottle until the 3-liter bottle is full. This will leave you with exactly 4 liters remaining in the 5-liter bottle!
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Marylyne Obonyo
I would fill the 5 litre bottle first then use the water in the bottle to fill the 3 litre bottle so I'll remain with 2 litres
I would then repeat the same procedure once and I'll have measured 4 litres of water
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Imaran
Fill both halfway
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To measure exactly 4 liters of water using a 3-liter bottle and a 5-liter bottle, you can follow these steps:
Fill the 5-liter bottle completely so you have 5 liters of water in it.
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. After doing this, you will have 2 liters left in the 5-liter bottle.
Empty the 3-liter bottle to free it up for the next step.
Pour the remaining 2 liters from the 5-liter bottle into the 3-liter bottle.
Fill the 5-liter bottle completely again, so you have another 5 liters in it.
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. Since the 3-liter bottle already contains 2 liters, you can only add 1 more liter to it. This will leave you with exactly 4 liters in the 5-liter bottle.
Now you have exactly 4 liters of water in the 5-liter bottle.
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Measure 3L of water and pour into the 5L,
Measure again another 3L of water and pour into the 5L containing 3L of water
1L of water will be left in the 3L
Empty the 5L of water
Pour the 1L of water left into the 5L
Fill the 3L again and pour into the 5L containing 1L
The 5L will now contain 4L of water
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Empty the 5 L bottle and put the 1 L water into it. Fill the 3 L bottle and put that in the 5 L bottle containing 1 L water. You now have 4 L water.
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you can measure 4litres of water from the bottle, by subtracting 3litres from 5litres. After which you square the answer.
5 minus 3 is 2. then squaring 2, you will have 4 litres
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Sunil Kumar Singh
Verified Tutor
Step 1: Measure 5 litre
Step 2: Take our 3 litre from the 5 litre measured in Step 1
Step 3: Add 5 litre to 2 litre left in Step 2 = 7 Litre
Step 4: Take out 3 Litre from 7 Litre you have in Step 3, you will be left with 4 Litres
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Yudea
Step 1: Fill the 3-liter bottle and pour it into the empty 5-liter bottle
Step 2: Fill the 3-liter bottle again and pour enough to fill the 5-liter bottle. This leaves exactly 1 liter in the 3-liter bottle
Step 3: Empty the 5-liter bottle and pour the remaining 1 liter from the 3-liter bottle into the 5-liter bottle
Step 4: Fill the 3-liter bottle and pour it into the 5-liter bottle. The 5-liter bottle now has exactly 4 liters…
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1. **Fill the 5-liter bottle completely** (5 liters in the 5-liter bottle, 0 liters in the 3-liter bottle).
2. **Pour water from the 5-liter bottle into the 3-liter bottle** until the 3-liter bottle is full. Now you have 2 liters left in the 5-liter bottle (3 liters in the 3-liter bottle, 2 liters in the 5-liter bottle).
3. **Empty the 3-liter bottle** (0 liters in the 3-liter bottle, 2 liters in the 5-liter bottle).
4. **Pour the remaining 2 liters from the 5-liter bottle into the 3-liter bottle** (2 liters in the 3-liter bottle, 0 liters in the 5-liter bottle).
5. **Fill the 5-liter bottle completely again** (2 liters in the 3-liter bottle, 5 liters in the 5-liter bottle).
6. **Pour water from the 5-liter bottle into the 3-liter bottle** until the 3-liter bottle is full. The 3-liter bottle already has 2 liters, so you only need 1 more liter to fill it. After pouring 1 liter, you will have exactly 4 liters remaining in the 5-liter bottle (3 liters in the 3-liter bottle, 4 liters in the 5-liter bottle).
Now you have measured exactly 4 liters using the 3-liter and 5-liter bottles.
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Fill up 5L. Fill up the 3L bottle using the 5L bottle.
You have 2L remaining in the 5L bottle. Empty the 3L bottle and put the 2L from the 5L bottle in to the 3L bottle.
Fill up 5L bottle, and fill the rest of the 3L bottle (there will be 1L left to fill). Now you have 4L left in the 5L bottle.
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Empty the 3-liter bottle and pour the 2 liters from the 5-liter bottle into the 3-liter bottle. Next, fill the 5-liter bottle again and pour water into the 3-liter bottle until it's full. You will end up with exactly 4 liters of water remaining in the 5-liter bottle.
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Challenging question but pretty simple if you break it down.
1. Fill up the 3L bottle with water and pour it into the 5L bottle.
2. Fill up the 3L bottle again and pour the the water into the 5L bottle to fill it to the top. You should have 1L of water left in the 3L bottle.
3. Empty the 5L bottle and pour the 1L leftover from the 3L bottle into the 5L bottle.
4. Then fill up the 3L bottle to the top again and pour into the 5L bottle to get your 4 litres of water.
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Fill the 5-litre bottle completely.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. This will leave you with 2 litres of water in the 5-litre bottle.
Empty the 3-litre bottle.
Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle.
Fill the 5-litre bottle completely again.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. Since the 3-litre bottle already has 2 litres, it will only take 1 litre from the 5-litre bottle, leaving exactly 4 litres in the 5-litre bottle.
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1. **Define the bottles**: Let \( A \) be the 3-litre bottle and \( B \) be the 5-litre bottle. Initially, both \( A \) and \( B \) are empty.
2. **Fill \( B \) completely**:
- \( A = 0 \) litres
- \( B = 5 \) litres
3. **Pour water from \( B \) into \( A \)**:
- Since \( A \) can only hold 3 litres, pour 3 litres from \( B \) to \( A \).
- After this step:
- \( A = 3 \) litres
- \( B = 5 - 3 = 2 \) litres
4. **Empty \( A \)**:
- \( A = 0 \) litres
- \( B = 2 \) litres
5. **Pour the remaining water in \( B \) into \( A \)**:
- Pour 2 litres from \( B \) to \( A \).
- After this step:
- \( A = 2 \) litres
- \( B = 0 \) litres
6. **Fill \( B \) completely again**:
- \( A = 2 \) litres
- \( B = 5 \) litres
7. **Pour water from \( B \) into \( A \)** until \( A \) is full:
- \( A \) already has 2 litres, so it can take only 1 more litre.
- After pouring 1 litre from \( B \) to \( A \):
- \( A = 3 \) litres (full)
- \( B = 5 - 1 = 4 \) litres
Now, the 5-litre bottle \( B \) contains exactly 4 litres of water.
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You can measure exactly 4 litres of water using the 3-litre and 5-litre bottles with the following steps:
- Fill the 5-litre bottle completely so that it contains 5 litres of water.
- Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. This leaves exactly 2 litres of water in the 5-litre bottle.
- Empty the 3-litre bottle.
- Pour the 2 litres of water from the 5-litre bottle into the empty 3-litre bottle.
- Fill the 5-litre bottle completely again (so it now has 5 litres).
- Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. Since the 3-litre bottle already has 2 litres in it, you can only add 1 more litre. This leaves exactly 4 litres in the 5-litre bottle.
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To measure exactly 4 liters of water using a 3-liter bottle and a 5-liter bottle, you can follow these steps:
### Step-by-Step Instructions:
1. **Fill the 5-liter bottle completely.**
- Now the 5-liter bottle has 5 liters of water, and the 3-liter bottle is empty.
2. **Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full.**
- Now the 3-liter bottle is full (3 liters), and the 5-liter bottle has 2 liters of water left.
3. **Empty the 3-liter bottle.**
- Now the 3-liter bottle is empty, and the 5-liter bottle still has 2 liters of water.
4. **Pour the 2 liters of water from the 5-liter bottle into the 3-liter bottle.**
- Now the 3-liter bottle has 2 liters of water, and the 5-liter bottle is empty.
5. **Fill the 5-liter bottle again.**
- Now the 5-liter bottle has 5 liters of water, and the 3-liter bottle still has 2 liters of water.
6. **Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full.**
- The 3-liter bottle already has 2 liters of water, so it can only hold 1 more liter. When you pour 1 liter from the 5-liter bottle into the 3-liter bottle, the 5-liter bottle will be left with exactly 4 liters of water.
Now you have exactly 4 liters of water in the 5-liter bottle.
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To measure 4 litres, pour half bottle of water from the 3 and 5 litres bottle
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Williams
Fill the 5l bottle, from the content of the 5l bottle, fill the 3l bottle. What is left in the 5l bottle is 2l of liquid (5 - 3). Do this twice and you get 4l of liquid (2l * 2). Easy as that.
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Fill 5L bottle. From 5L bottle, fill 3L bottle. Now 5L bottle has 2L water in it. Empty out 3L bottle. Fill 3L bottle with 2L water that was present in 5L bottle. Fill 5L bottle again. Fill 3L bottle which has 2L already inside it. The remaining water in 5L bottle is 4L.
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Fill up half of each bottle so half of 5 is 2.5L and half of 3 is 1.5L so add the two amounts together in rhe bottles and measure which should equal 4L
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You would fill the 5 litre bottle half way, and the 3 litre bottle half way. The total of both halves will give you 4 litres.
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Here's a step-by-step solution:
1. Fill the 5L bottle completely with water.
2. Pour water from the 5L bottle into the 3L bottle until the 3L bottle is full, leaving 2L remaining in the 5L bottle.
3. Empty the 3L bottle.
4. Pour the remaining 2L from the 5L bottle into the 3L bottle.
5. Fill the 5L bottle again with water.
6. Pour water from the 5L bottle into the 3L bottle until the 3L bottle is full, which will take 1L (since it already has 2L).
Now, the 5L bottle has 4L of water remaining, which is the desired amount.
Here's a summary:
- 5L - 3L = 2L (initial pour)
- 2L + 1L = 3L (second pour)
- 5L - 1L = 4L (final amount)
By following these steps, you can measure 4 litres of water using the 3L and 5L bottles.
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Provided the bottles are calibrated, I will suggest that the two bottles {3l and 5l} should be filled to the corresponding litres respectively and each bottle can be halved i.e. 3 litres to 1.5l and 5 litres to 2.5 litres. The two halves can now be combined to give 4 litres of the required solution.
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Hossein
Fill the 5L with 3L which then makes the 5L have 2L left space in it. Then again fill the 3L and try to top the rest of 2L left space with it. Then empty the filled 5L bottle, now that you have 1L left in 3L bottle pour it in to the 5L bottle + another full 3L on top of it so now you have 4L in your 5L bottle.
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Ken Cooper
Verified Tutor
Fill the 3 litre bottle
Pour that into the 5 litre bottle
Fill the 3 litre bottle
Pour 2 litres in to the 5 litre bottle - it is now full
there is 1 litre left in the 3 litre bottle
empty the 5 litre bottle
Pour the 1 litre left in the 3 litre bottle into the 5 litre bottle
Fill the 3 litre bottle
Pour that into the 5 litre bottle
You now have 4 litres in the 5 litre bottle
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You need two 5L bottles & two 3L bottles.
Fill the two 5L bottles with water. Once they are full ,gently fill in the first 3L bottle using water from the first 5L bottle (You will remain with 2L of water in the first 5L bottle) .Empty the remaining 2L from the first 5L bottle into the second 3L bottle, then use the second 5L bottle to fill up the second 3L bottle. You will then remain with 4L of water in the second 5L bottle.
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1. Fill the 5-liter bottle completely with water.
2. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. Now you have 2 liters of water left in the 5-liter bottle.
3. Empty the 3-liter bottle.
4. Pour the remaining 2 liters from the 5-liter bottle into the 3-liter bottle.
5. Fill the 5-liter bottle again.
6. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. Since there were already 2 liters in the 3-liter bottle, you can only add 1 more liter, leaving exactly 4 liters in the 5-liter bottle.
Now, you have exactly 4 liters of water in the 5-liter bottle.
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You can fill the 5L bottle, and pour water from the 5L to the 3L until the 3L is full. Empty the 3L bottle completely, then pour the remaining 2L of water from the 5L bottle into the 3L bottle. Fill up the 5L bottle again so it's full, then pour enough from the 5L into the 3L so the 3L is full. You'll then have 4L remaining in the 5L bottle.
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5 litres add 3 litres gives you a difference of 2 multiply by 2 to get 4 litres
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Nde Terence
If you are to use no other containers except the 3L and 5L bottle.
* 2*3L-5L=1L. Pour water into 3L bottles, pour into 5L bottle. Measure a second 3L and pour into the 5L bottle. You will be left with 1L Inthe 3L bottles
* Empty the L bottle and transfer the 1L to it.
* Measure 3L and add to the 1L bottle. You end up with 4L Inthe 5L bottle
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To measure exactly 4 litres of water using a 3-litre and a 5-litre bottle, follow these steps:
Fill the 5-litre bottle completely.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. This leaves you with 2 litres in the 5-litre bottle.
Empty the 3-litre bottle.
Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle.
Fill the 5-litre bottle again.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. Since it already has 2 litres, you can only add 1 more litre from the 5-litre bottle, leaving exactly 4 litres in the 5-litre bottle.
Now, you have exactly 4 litres in the 5-litre bottle.
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Subham Sharma
# Fill 5L bottle
# Fill 3L bottle from the 5L bottle. 5L bottle has 2L water left.
# Empty out the 3L bottle & pour the 2L water from 5L bottle into 3L bottle.
# Refill the 5L bottle again.
# Pour out 1L water from 5L bottle into 3L bottle to fill it.
# Water left in 5L bottle is required quantity.
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Tayyab Qayyum
I will pour some water from 5L bottle to 3L until to make it equal.
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1. First of all fill the 5-liter bottle completely with water .
2. Pour water from the 5-liter bottle into the 3-liter bottle. This will leave you with 2 liters in the 5-liter bottle, since the 3-liter bottle can only hold 3 liters.
3. Empty the 3-liter bottle. Still have 2 liters in the 5-liter bottle.
4. Pour the 2 liters from the 5-liter bottle into the 3-liter bottle. The 5-liter bottle is now empty, and the 3-liter bottle contains 2 liters of water.
5. Fill the 5-liter bottle again. The 5-liter bottle now contains 5 liters of water.
6. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. Since the 3-liter bottle already contains 2 liters, it can only take 1 more liter. This leaves you with exactly 4 liters in the 5-liter bottle.
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To measure exactly 4 liters of water using a 3-liter and a 5-liter bottle, follow these steps:
1. Fill the 5-liter bottle completely**: Now you have 5 liters of water in the 5-liter bottle.
2. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full: This leaves you with 2 liters of water in the 5-liter bottle.
3. Empty the 3-liter bottle: Now, the 3-liter bottle is empty, and you still have 2 liters of water in the 5-liter bottle.
4. Pour the remaining 2 liters from the 5-liter bottle into the 3-liter bottle: Now, the 3-liter bottle has 2 liters of water, and the 5-liter bottle is empty.
5. Fill the 5-liter bottle completely again: Now you have 5 liters of water in the 5-liter bottle.
6. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full: Since the 3-liter bottle already has 2 liters, it can only take 1 more liter, so you pour 1 liter into it.
7. Now, you have exactly 4 liters of water left in the 5-liter bottle
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Fill the 5 litres bottle, then from the five litres fill the 3 litres bottle and discard. Fill back the 3 litters bottle with the rest of water from the 5 litres bottle. Fill back the 5 litres bottle. From the 5 litres bottle full the 3 litres bottle and that's it, the rest in the 5 litres bottle is 4 litres 🙏🤑
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To measure exactly 4 liters of water using a 3-liter bottle and a 5-liter bottle, follow these steps:
Fill the 5-liter bottle completely. Now, the 5-liter bottle contains 5 liters of water.
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. Now, the 3-liter bottle contains 3 liters of water, and the 5-liter bottle has 2 liters of water remaining.
Empty the 3-liter bottle. The 3-liter bottle is now empty.
Transfer the remaining 2 liters of water from the 5-liter bottle to the 3-liter bottle. Now, the 3-liter bottle contains 2 liters of water, and the 5-liter bottle is empty.
Fill the 5-liter bottle again. Now, the 5-liter bottle contains 5 liters of water.
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. The 3-liter bottle already contains 2 liters of water, so you can only add 1 more liter from the 5-liter bottle.
Now, the 3-liter bottle contains 3 liters of water, and the 5-liter bottle has 4 liters of water remaining.
You now have exactly 4 liters of water in the 5-liter bottle.
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Fill the half of the 3L bottle and the half of the 5L bottle. Then, combine. You get 4L all in all.
3/2=1.5 L
5/2= 2.5 L
1.5+2.5L = 4L
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Empty the 5 L jug and put the 1 L water into it. Fill the 3 L jug and put that in the 5L jug containing 1 L water. You now have 4 L water
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Gracious Chibaya
Fill the 3-liter bottle completely with water.
Pour the water from the 3-liter bottle into the 5-liter bottle.
Fill the 3-liter bottle again completely with water.
Pour water from the 3-liter bottle into the 5-liter bottle until the 5-liter bottle is full. Since the 5-liter bottle already contains 3 liters, it can only take 2 more liters. This leaves exactly 1 liter of water in the 3-liter bottle.
Empty the 5-liter bottle.
Pour the 1 liter of water from the 3-liter bottle into the 5-liter bottle.
Fill the 3-liter bottle again completely with water.
Pour the water from the 3-liter bottle into the 5-liter bottle.
Now, you have exactly 4 liters of water in the 5-liter bottle.
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1. Fill the 5 L bottle to the top.
2. Take the 3 L bottle and fill it using the water from the 5 L bottle. This will fill the 3 L bottle and the water left in 5 L bottle will be 2 L.
3. Empty this 3 L bottle and now pour the remaining 2 L in it so now the left space in 3 L bottle is 1 L.
4 . Again fill the 5 L bottle to the top and now again pour from it to 3 L bottle to fill the remaining space of 1 L.
4. After the 1 L gap has been filled using water from 5 L bottle. The remaining volume of water left in 5 L bottle is 4 L now.
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1. Pour the contents of the 3L bottle into a separate container
2. Fill the 3L bottle to the brim with the 5L bottle.
3. Empty the 3L bottle
4. Balance out the remaining contents of the 5L bottle (which should be 2L) such that there is 1L in each bottle.
5. Pour 1L into the 3L of water you previously poured out
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To measure exactly 4 liters of water using only a 3-liter bottle and a 5-liter bottle, follow these steps:
Fill the 5-liter bottle completely.
(Now you have 5 liters in the 5-liter bottle and 0 liters in the 3-liter bottle.)
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full.
(Now you have 2 liters left in the 5-liter bottle and 3 liters in the 3-liter bottle.)
Empty the 3-liter bottle.
(Now you have 0 liters in the 3-liter bottle and 2 liters in the 5-liter bottle.)
Pour the 2 liters from the 5-liter bottle into the 3-liter bottle.
(Now you have 2 liters in the 3-liter bottle and 0 liters in the 5-liter bottle.)
Fill the 5-liter bottle again completely.
(Now you have 5 liters in the 5-liter bottle and 2 liters in the 3-liter bottle.)
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full.
(Since the 3-liter bottle already has 2 liters, you can only add 1 more liter. Now you have exactly 4 liters left in the 5-liter bottle.)
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1. Fill up the 3l container and pour into a 5l container
2. Fill up the 3l container again and pour into a 5l container, you will remain with 1l then pour it in a seperate container.
3. Pour water from the 5l into a 3l then combine this 3l with the 1l in step 2 above to make 4l.
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You use the 5L bottle twice to get 10L. From these 10L you use the 3L bottle twice to remove 6L from 10L so you get 4L left.
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Fill the both 3 litre and 5 litre bottle by half and pour in a bottle you will get exactly 4 litre of water
OR
3/2 + 5/2 = 8/2 = 4
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Fill 5 lt. Empty filler in 3 ltr, you get 2 ltr as left over, collect it in container and repeat.
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You can measure exactly 4 liters of water using the 3-litre and 5-litre bottles by following these steps:
1. **Fill the 5-litre bottle completely**: Now you have 5 liters in the 5-litre bottle and 0 liters in the 3-litre bottle.
2. **Pour water from the 5-litre bottle into the 3-litre bottle** until the 3-litre bottle is full: Now, you have 2 liters left in the 5-litre bottle (since 5 - 3 = 2) and 3 liters in the 3-litre bottle.
3. **Empty the 3-litre bottle**: Now, you have 2 liters in the 5-litre bottle and 0 liters in the 3-litre bottle.
4. **Pour the 2 liters from the 5-litre bottle into the 3-litre bottle**: Now, you have 0 liters in the 5-litre bottle and 2 liters in the 3-litre bottle.
5. **Fill the 5-litre bottle completely again**: Now, you have 5 liters in the 5-litre bottle and 2 liters in the 3-litre bottle.
6. **Pour water from the 5-litre bottle into the 3-litre bottle until it is full**: The 3-litre bottle already contains 2 liters, so it can only hold 1 more liter. After this step, you will have 4 liters left in the 5-litre bottle (since 5 - 1 = 4).
Now, you have exactly 4 liters of water in the 5-litre bottle.
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Fill 3 litre container then empty contents into the 5 litre container.
Fill 3 litre container again and empty contents into 5 litre container which will leave 1 litre in 3 litre container.
Empty 5 litre container.
Pour contents of 3 litre container - 1 litre - into 5 litre container.
Refill 3 litre container and then add to the 1 litre in the 5 litre container = 4 litres.
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Ayo
To measure 4-litres of water with 3-litre and 5-litre containers, the following steps would need to be carried out:
1. Fill up the 5-litre container
2. Pour water from the 5-litre container into the 3-litre container until it is full. There will then be 2 litres of water in the 5-litre container.
3. Empty the 3-litre container.
4. Return the 2 litres of water from the 5-litre container into the 3-litre container.
5. Fill up the 5-litre container again.
6. Pour water from the 5-litre container into the 3-litre container until it is full. Since there are already 2 litres of water in the 3-litre container, you can only add 1 more litre. 4-litres of water will now be held in the 5-litre container.
You now have exactly 4 litres of water in the 5-litre container.
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Very simple.
Method 1: Get 2 empty bottles of 4 litres each. This makes 8 litres. Fill the 3L and 5L bottles with water (this also makes 8 litres) and pour into the 2 4L bottles.
Method 2: Measure half of the 3litres (1.5L) and half of the 5litres (2.5L) bottles and discharge into a container. This gives 4 litres (1.5 + 2.5)
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Mukadas Raji
Verified Tutor
Add 3 and 5 then divide ➗ it by 4 it will give you 2 so half of 3+5 which equals 8 is the 4 litre
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Arun
Use the 3 litres bottle 3 times and collect the water in a jar. It will be 3+3+3 = 9 litres. Now, fill up the 5 litres bottle using the jar, the water remaining in the jar is 4 litres.
Hope it helps.
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Fill the 5-litre bottle completely.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. This leaves you with 2 litres in the 5-litre bottle Empty the 3-litre bottle.
Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle.
Refill the 5-litre bottle completely.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. Since there are already 2 litres in the 3-litre bottle, you can only add 1 more litre from the 5-litre bottle.
You will now have exactly 4 litres of water left in the 5-litre bottle.
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Hey Lucy
1. Fill both 3L and 5L bottles half
2. Empty the 3L and the 5L, into 4L bottle
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You can measure exactly 4 liters of water using a 3-liter bottle and a 5-liter bottle by following these steps:
1. Fill the 5-liter bottle completely (so it contains 5 liters of water).
2. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. Now, the 3-liter bottle has 3 liters, and the 5-liter bottle has 2 liters remaining.
3. Empty the 3-liter bottle.
4. Pour the remaining 2 liters from the 5-liter bottle into the 3-liter bottle.
5. Fill the 5-liter bottle again (so it contains 5 liters).
6. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. Since there are already 2 liters in the 3-liter bottle, you can only add 1 more liter from the 5-liter bottle.
7. Now, the 5-liter bottle will have exactly 4 liters of water left.
This way, you've measured exactly 4 liters of water.
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Malaika Arshad
1.Fill up the big bottle (5 litres) all the way to the top.
Now the big bottle has 5 litres, and the small bottle (3 litres) is empty.
2. Pour water from the big bottle into the small bottle until the small bottle is full.
The small bottle can only hold 3 litres, so there will be 2 litres left in the big bottle.
3. Empty the small bottle by pouring all the water out.
Now the small bottle is empty again, and the big bottle still has 2 litres.
4. Pour the 2 litres from the big bottle into the small bottle.
Now the big bottle is empty, and the small bottle has 2 litres.
5. Fill up the big bottle again to the top.
Now the big bottle has 5 litres again, and the small bottle still has 2 litres.
6. Pour water from the big bottle into the small bottle until the small bottle is full.
The small bottle already has 2 litres, so it can only take 1 more litre. After doing this, you’ll have exactly 4 litres left in the big bottle!
And there you go—now you have exactly 4 litres of water in the big bottle!
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You pour the 5-litre bottle into the 3-litre bottle (leaving you with 2 litres) 2 times that amount equates to 4 litres
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Follow these steps:
1. **Fill the 5-liter bottle completely**, Now you have 5 liters in the 5-liter bottle and 0 liters in the 3-liter bottle.
2. **Pour water from the 5-liter bottle into the 3-liter bottle** until the 3-liter bottle is full: You will now have 2 liters left in the 5-liter bottle (since 5 - 3 = 2) and 3 liters in the 3-liter bottle.
3. **Empty the 3-liter bottle**: Now you have 0 liters in the 3-liter bottle and still 2 liters in the 5-liter bottle.
4. **Pour the 2 liters from the 5-liter bottle into the 3-liter bottle**: Now you have 2 liters in the 3-liter bottle and 0 liters in the 5-liter bottle.
5. **Fill the 5-liter bottle completely again**: Now you have 5 liters in the 5-liter bottle and 2 liters in the 3-liter bottle.
6. **Pour water from the 5-liter bottle into the 3-liter bottle** until the 3-liter bottle is full: Since the 3-liter bottle already has 2 liters, it can only take 1 more liter. This means you pour 1 liter from the 5-liter bottle into the 3-liter bottle.
7. **After this final pour, you will have exactly 4 liters remaining in the 5-liter bottle**.
Thus, you have successfully measured 4 liters of water.
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Fill 5 ltr bottle and transfer this in 3 ltr bottle there will be 2 ltr in 5 ltr bottle seperate this 2 ltr repeat this now you have 4 ltr
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Ian Walker
Fill both 3 + 5 add together then get rid of 4 litres
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Sofia
Add the 2 bottles and divide by 2 (3L+5L)/2 = 4L
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Khadijah
Pour the 2 litres from the 5-liter basin into the 3-liter bowl after emptying it. Fill the 5-liter bowl with water once more, and then gently transfer that water into the 3-liter bowl until it is completely filled, adding precisely one more litre. There are exactly 4 litres left in the 5-liter bowl…
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John Newman
Add 5 litres into a bucket. Take 3 litres out using the 3 litre bottle. Add another 5 litre too the bucket and take out 3 litre and that’ll leave 4 litre in the bucket.
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Firstly, fill the 5 liter bottle with 4 liter water then pour water from 5 liter bottle to 3 liter bottle it become full. Then 1 liter left in 5 liter bottle . Then pour 3 little bottle water which is full pour again into 5 liter bottle. Then water easily adjust in 5 little bottle.
If u want to maintain equality so you can put 2 and 2liter in both bottlers.
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Using 5L bottle twice, fill a container uptil 10L. Now using 3L container twise, takeout 6L water. The water left in contsiner is 10L-6L=4L
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Well it depends on how many moves you can make but as it wasn't mentioned I would say the easiest way is this:
Fill up the 3L bottle, 5L bottle is empty.
Move the water from the 3L bottle to the 5L bottle so the 3L one is empty and the 5L one has 3L of water.
Refill the 3L botlle so it has 3L of water and the 5L bottle has 3L of water inside.
Pour as much as you can from the 3L bottle to the 5L bottle so it results in 1L left in the 3L bottle and 5L of water in the 5L bottle.
Empty the 5L bottle.
Pour the 1L left in the 3L bottle in the 5L bottle.
Fill up the 3L bottle again, pour it in the 5L bottle and tadaa 3L+1L=4L in the 5L bottle.
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Use a 3 litre bottle to fill up a 5 litre bottle. After the second pour of the 3 litre bottle, you will have 1 litre left. Pour this into a separate bottle ans repeat the process three more times, adding the remaining litre to the same bottle and you will have 4 litres in this one.
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Fill both bottles upto half .that is quantity 1.5 litre +2.5litre =4 litres means 1.5 litre in 3 litre bottle and 2.5 in 5 litre bottle
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Hetal
Do them equal level, 3+5 =8 so we need to do.... Same level of the bottle because half of 8 equal to 4
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1) fill up the 3L bottle and empty it into 5L bottle
2) fill the 3L bottle again and pour it into the 5L bottle until it's full. This leaves exactly 1 liter of water in the 3L container.
3) Discard the water from the 5L bottle.
4) Pour 1 liter of water from the 3L bottle into the 5L bottle.
5) Fill the 3L bottle completely again.
6) Pour the water from the 3L bottle into the 5L bottle
7) Now you have 4 liters of water in your 5L bottle
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Fill 5 litre bottle in full and then pour its water in 3 litre bottle. The remaining water in 5 litre bottle is 2 litre. Empty 5 litre bottle in a separate pot. Repeat the same and this is how 4 litres of water will be collected.
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Introduction
The solution for this specific problem is fairly simple and has been answered by others, but I think a more interesting answer is a general solution to a problem of this type. Let’s say the first bottle (A) is N1-litres, the second bottle (B) is N2-litres, and the desired measurement is M-litres.
Euclidean Algorithm Description
We can find a general solution to this question by applying the Euclidean algorithm (EA), which is used as an efficient method to compute the Greatest Common Denominator (GCD) of two integers. The EA of two integers (X and Y) goes as follows.
Without loss of generality, let’s assume X is larger than Y. We want to write X as X=Q*Y+R for the largest integer Q such that R is a non-negative integer. Note that there is always only one correct way to do this. For example, X=38 and Y=8, then 38=4*8+6, so Q=4 and R=6. If Q were any larger integer than 4 then R would be negative.
Next, we simply replace X with R and repeat, now with the larger between the updated X and Y. For example, X=6 and Y=8, then 8=1*6+2, so Q=1 and R=2.
Finally, we keep doing this until R=0, in which case we have found our GCD, which is the smaller of our final X and Y. For example, X=6 and Y=2, then 6=3*2+0, so Q=3 and R=0, and hence our GCD is the smaller of the final X and Y which is 2.
Now we will work our way back up the Euclidean algorithm descent (you can skip the final step). After each step, replace the smaller of X and Y with the previous equation rearranged for R, and simplify. For example, 2=8-6, then 2=8-(38-4*8) which simplified to 2=5*8-38. This is what we need to answer the bottle problem.
Additional Euclidean Algorithm Example
Before I show how this solves the bottle problem, let’s quickly go through another example of the Euclidean algorithm. time, take X=252 and Y=105.
EA. (1) 252=2*105+42. (2) 105=2*42+21. (3) 42=2*21+0. So GCD=21
And back up, (2) 21=105-2*42. (1) 21=105-2*(252-2*105) , simplified to 21=5*105-2*252.
Euclidean Algorithm to Application
Now that we can find a sum of X and Y to get their GCD, we apply it to the bottle problem as follows. Take our first example, with N1=38 and N2=8, and equation 2=5*8-38.
We can get exactly 2-litres by essentially “adding” A (8L) five times, and “subtracting” B (38L) once. That is, fill the A up five times, and pour it into B bottle every time, once B is full, empty it until all five 8-litre pours have passed.
Specifically, fill the A (8L) four times pouring it into the B (38L) to have a total of 32-litres (6-litres of space remaining). On the fifth pour, pour out all 6-litres to fill B and stop, empty out B (one subtraction) and pour the remaining 2-litres from A into B, giving exactly 2-litre of water in B.
Non-GCD M
But what if the desired measurement M isn’t the GCD of N1 and N2? The general problem ONLY has a solution if M is a multiple of the GCD. We can get any M=K*GCD by multiplying both sides of the Euclidean algorithm equation by K. For example, N1=8 and N2=38 and M=6. Then using the EA equation, 2=5*8-1*38, we can get 6=15*8-3*38.
Alternatively, in the case that M is greater than N1 but smaller than N2, then you can find an optimal solution by adding some extra N1s to a multiple of the GCD, instead of multiplying the EA equation by a bigger number than necessary. For example, N1=8 and N2=38 and M=28. Well M=28=3*8+4=2*N1+2*GCD, so we can get 2*GCD from 2*2=2*(5*8-38)=10*8-2*38, and we can get the 3*N1 from simply adding it in M=(10*8-2*38)+3*8=13*8-2*38.
Conclusion
In short, use the Euclidian algorithm to efficiently get the GCD (even by hand calculations) and rearrange it to get it as a sum of N1 and N2. Use that to get M only if it is a multiple of the GCD.
Now to apply it to the original problem, the Euclidean algorithm on N1=3 and N2=5 and M=4. The Euclidean algorithm gives 1=2*3-5. Since 3 and 5 are coprime, we can solve for any M, but we want M=4, which is M=1*N1+1*GCD, so 4=1*(2*3-5)+1*3 simplified to 4=3*3-5. So pour up A (3L) three times and pour out of B (5L) once.
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Introduction
The solution for this specific problem is fairly simple and has been answered by others, but I think a more interesting answer is a general solution to a problem of this type. Let’s say the first bottle (A) is N1-litres, the second bottle (B) is N2-litres, and the desired measurement is M-litres.
Euclidean Algorithm Description
We can find a general solution to this question by applying the Euclidean algorithm (EA), which is used as an efficient method to compute the Greatest Common Denominator (GCD) of two integers. The EA of two integers (X and Y) goes as follows.
Without loss of generality, let’s assume X is larger than Y. We want to write X as X=Q*Y+R for the largest integer Q such that R is a non-negative integer. Note that there is always only one correct way to do this. For example, X=38 and Y=8, then 38=4*8+6, so Q=4 and R=6. If Q were any larger integer than 4 then R would be negative.
Next, we simply replace X with R and repeat, now with the larger between the updated X and Y. For example, X=6 and Y=8, then 8=1*6+2, so Q=1 and R=2.
Finally, we keep doing this until R=0, in which case we have found our GCD, which is the smaller of our final X and Y. For example, X=6 and Y=2, then 6=3*2+0, so Q=3 and R=0, and hence our GCD is the smaller of the final X and Y which is 2.
Now we will work our way back up the Euclidean algorithm descent (you can skip the final step). After each step, replace the smaller of X and Y with the previous equation rearranged for R, and simplify. For example, 2=8-6, then 2=8-(38-4*8) which simplified to 2=5*8-38. This is what we need to answer the bottle problem.
Additional Euclidean Algorithm Example
Before I show how this solves the bottle problem, let’s quickly go through another example of the Euclidean algorithm. time, take X=252 and Y=105.
EA. (1) 252=2*105+42. (2) 105=2*42+21. (3) 42=2*21+0. So GCD=21
And back up, (2) 21=105-2*42. (1) 21=105-2*(252-2*105) , simplified to 21=5*105-2*252.
Euclidean Algorithm to Application
Now that we can find a sum of X and Y to get their GCD, we apply it to the bottle problem as follows. Take our first example, with N1=38 and N2=8, and equation 2=5*8-38.
We can get exactly 2-litres by essentially “adding” A (8L) five times, and “subtracting” B (38L) once. That is, fill the A up five times, and pour it into B bottle every time, once B is full, empty it until all five 8-litre pours have passed.
Specifically, fill the A (8L) four times pouring it into the B (38L) to have a total of 32-litres (6-litres of space remaining). On the fifth pour, pour out all 6-litres to fill B and stop, empty out B (one subtraction) and pour the remaining 2-litres from A into B, giving exactly 2-litre of water in B.
Non-GCD M
But what if the desired measurement M isn’t the GCD of N1 and N2? The general problem ONLY has a solution if M is a multiple of the GCD. We can get any M=K*GCD by multiplying both sides of the Euclidean algorithm equation by K. For example, N1=8 and N2=38 and M=6. Then using the EA equation, 2=5*8-1*38, we can get 6=15*8-3*38.
Alternatively, in the case that M is greater than N1 but smaller than N2, then you can find an optimal solution by adding some extra N1s to a multiple of the GCD, instead of multiplying the EA equation by a bigger number than necessary. For example, N1=8 and N2=38 and M=28. Well M=28=3*8+4=2*N1+2*GCD, so we can get 2*GCD from 2*2=2*(5*8-38)=10*8-2*38, and we can get the 3*N1 from simply adding it in M=(10*8-2*38)+3*8=13*8-2*38.
Conclusion
In short, use the Euclidian algorithm to efficiently get the GCD (even by hand calculations) and rearrange it to get it as a sum of N1 and N2. Use that to get M only if it is a multiple of the GCD.
Now to apply it to the original problem, the Euclidean algorithm on N1=3 and N2=5 and M=4. The Euclidean algorithm give 1=2*3-5. Since 3 and 5 are coprime, we can solve for any M, but we want M=4, which is M=1*N1+1*GCD, so 4=1*(2*3-5)+1*3 simplified to 4=3*3-5. So pour up A (3L) three times and pour out of B (5L) once.
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I would completely fill the 5L bottle with Then, pour the water in the 5L bottle to the 3L until it fills up - that leaves 2L of water in the 5L bottle. Empty out the 3L bottle. Pour the remaining 2L from the 5L bottle to the 3L, so the 5L bottle is now empty. Fill up the 5L bottle with more water. Pour the water in the 5L bottle to the 3L until it fills up. This leaves the 3L bottle completely filled and 4L of water in the 5L bottle.
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For an efficient and intuitive general solution to every problem of this form that you can do by hand, use the Euclidean algorithm. In this case, 4L=3(3L)-1(5L) which suggests a solution of filling up the 3L bottle three times (pouring it into the 5L bottle without overflowing) and emptying out the 5L bottle once.
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Hi Lucy,
If you divide the 5 litres bottles into five equal parts and mark the parts with a black marker, then one part will represent 1 litre which you can fill with water to make 1 litre.
Then you fill your " 3 litre " bottle and when you add the water together, it will be 4 litres.
Alternatively, you can put the 3 litre bottle on a scale, say it it 1500 grams, then one litre will be 500 grams
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Aicha El Labban
You poor from the five litter into 3 litter bottle until they both level up. Both bottles will be 4 littres.
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Abhijay Sekhar
1. Fill 3 Litre bottle
2. Transfer water from 3L bottle to 5L bottle such that 5L bottle is filled exactly half way(2.50L)
3. Add water to 3L bottle so that exactly half of the 3L bottle is filled.(1.50L)
4. Transfer all remaining water from 3L bottle into 5L bottle so that 4L of water is present in 5L bottle.(Total amount of water in 5L bottle at the end=2.50+1.50=4L)
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Fill them both up of a fluid and use half of each bottle, half of 3l is 1.5l and half of 5l is 2.5l. Together you have 4l of fluid
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ou can measure exactly 4 liters of water using a 3-liter bottle and a 5-liter bottle by following these steps:
Fill the 5-liter bottle completely.
(Now the 5-liter bottle contains 5 liters of water.)
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full.
(Now the 3-liter bottle contains 3 liters of water, and the 5-liter bottle has 2 liters remaining.)
Empty the 3-liter bottle.
(Now the 3-liter bottle is empty, and the 5-liter bottle still contains 2 liters of water.)
Pour the remaining 2 liters from the 5-liter bottle into the 3-liter bottle.
(Now the 3-liter bottle contains 2 liters of water, and the 5-liter bottle is empty.)
Fill the 5-liter bottle again completely.
(Now the 5-liter bottle contains 5 liters of water.)
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full.
(Since the 3-liter bottle already has 2 liters, it can only take 1 more liter, leaving exactly 4 liters in the 5-liter bottle.)
Now you have exactly 4 liters of water in the 5-liter bottle.
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Asmaa Rafferty
To measure exactly 4 litres of water using only a 3-liter bottle and a 5-liter bottle, you can follow these steps:
Fill the 5-litre bottle: Now, the 5-litre bottle has 5 litres of water.
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full: This leaves you with 2 liters of water in the 5-liter bottle (since 5 liters - 3 liters = 2 liters).
Empty the 3-litre bottle: Now, the 3-litre bottle is empty, and the 5-litre bottle has 2 litres of water.
Pour the remaining 2 liters of water from the 5-liter bottle into the 3-liter bottle: Now, the 3-liter bottle has 2 liters of water, and the 5-liter bottle is empty.
Fill the 5-litre bottle again completely: Now, the 5-litre bottle has 5 litres of water.
Pour water from the 5-litre bottle into the 3-litre bottle until it is full: Since the 3-litre bottle already contains 2 litres of water, you can only add 1 more litre to fill it up. This leaves you with exactly 4 litres of water in the 5-litre bottle (since 5 litres - 1 litre = 4 litres).
Now, you have exactly 4 litres of water in the 5-litre bottle
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Priyadharshini Vaiyapuri
Fill both the 3litres and 5litres bottles and half its volume, 1.5litrs and 2.5ltrs, then you will get approximate 4litres of water...
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Ayomide Rabiu
Hi, pour some of the water in the 5-litre bottle into the 3-litre bottle gradually until the amount of water in both are at the same eye level.
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Nancy Onuoha
To measure 4 litres of water using a 3-litre and a 5-litre bottle, you can follow these steps:
1. Fill the 5-litre bottle to the top.
2. Pour the water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. This leaves 2 litres in the 5-litre bottle.
3. Empty the 3-litre bottle.
4. Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle.
5. Fill the 5-litre bottle to the top again.
6. Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. At this point, there will be 4 litres of water remaining in the 5-litre bottle.
So, by using these steps, you can measure 4 litres of water using a 3-litre and a 5-litre bottle. I hope this helps.
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Fill the 5-litre bottle completely.
Now you have 5 litres in the 5-litre bottle.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full.
This leaves you with 2 litres of water in the 5-litre bottle (since 5 - 3 = 2).
Empty the 3-litre bottle.
Now, the 3-litre bottle is empty, and you still have 2 litres in the 5-litre bottle.
Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle.
Now the 5-litre bottle is empty, and the 3-litre bottle contains 2 litres.
Fill the 5-litre bottle again completely.
Now you have 5 litres in the 5-litre bottle and 2 litres in the 3-litre bottle.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full.
Since the 3-litre bottle already has 2 litres, it can only take 1 more litre.
After pouring 1 litre from the 5-litre bottle into the 3-litre bottle, you are left with exactly 4 litres of water in the 5-litre bottle.
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Valerie
Fill both bottles half way.
3/2= 1.5
5/2= 2.5
1.5+2.5=4L
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pour water into the 3-litre bottle, then pour the 3-litre into the 5-litre bottle, do this one more time and you will have a full 5-litre bottle and 1 litre in the 3-litre bottle. drain the 5-litre bottle, pour the 1-litre from the 3-litre bottle into the 5-litre bottle then fill up the 3-litre bottle and pour that into the 5-litre bottle to make it 4 litres in the 5 litre bottle.
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Get two 5L bottles and a 3L bottle, Fill up 5L and 3L bottle with water, then pour the 3L water to 5L empty bottles. Balance the two 5L bottles of water to have equal Sizes, then you have two 4L bottles.
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Hey Lucy, you just need to measure half both 5L bottle (2.5L) and 3L bottle (1.5L)
This would give you 4L
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3L plus 5L equals to 8L. Half of 8L is 4L so if you pour the liquid half way in each container you will get 4L.
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1. Fill the 5-liter bottle all the way up.
2. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. Now, the 3-liter bottle has 3 liters, and the 5-liter bottle has 2 liters left.
3. Empty the 3-liter bottle. Now, the 3-liter bottle is empty, and the 5-liter bottle still has 2 liters.
4. Pour the 2 liters from the 5-liter bottle into the 3-liter bottle. Now the 3-liter bottle has 2 liters, and the 5-liter bottle is empty.
5. Fill the 5-liter bottle again. Now it has 5 liters, and the 3-liter bottle still has 2 liters.
6. Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full. Since the 3-liter bottle already has 2 liters, you can only add 1 more liter to it.
7. Now, you have 4 liters left in the 5-liter bottle.
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fill up the 5L bottle to the top, and use that to fill the 3L bottle. When the 3L bottle is full, 2L should remain in the 5L bottle because 5-3 = 2. Put that water into another container and repeat by filling 5, pouring into 3 and remaining with 2. 2L + 2L = 4L of water
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Hannah Yassine
Verified Tutor
Fill the 5-liter bottle completely: Now, you have 5 liters in the 5-liter bottle and 0 liters in the 3-liter bottle.
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full: This will leave you with 2 liters of water in the 5-liter bottle (because 5 - 3 = 2).
Empty the 3-liter bottle: Now, you have 0 liters in the 3-liter bottle and 2 liters in the 5-liter bottle.
Pour the 2 liters from the 5-liter bottle into the 3-liter bottle: Now, the 3-liter bottle has 2 liters, and the 5-liter bottle is empty.
Fill the 5-liter bottle completely again: Now, you have 5 liters in the 5-liter bottle and 2 liters in the 3-liter bottle.
Pour water from the 5-liter bottle into the 3-liter bottle until the 3-liter bottle is full: The 3-liter bottle already has 2 liters, so it can only take 1 more liter. Therefore, after pouring 1 liter from the 5-liter bottle, you will have exactly 4 liters left in the 5-liter bottle.
Now, you have exactly 4 liters of water in the 5-liter bottle.
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Vijay Lal
Half of 5 litre bottle + half of 3 litre bottle = 1.5 + 2.5 = 4 litres!
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Pour 5Litres bottle full and pour into 3litres bottle you have 2 litres left in it, empty the 3litres bottle and fill the remaining water which is in 5Litre bottle, fill 5Litre bottle again and pour it into the 3 litre bottle and in your 5Litre bottle you have the 4litres of water.
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Since we can note that 4 is nothing but an average of 3 and 5, that is,
(3+5)/2= 3/2 + 5/2 = 4, so fill both the bottles half and half and then combine them in one container that's your 4L water. There are many other ways to do that.
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Osarumen Igbinovia
1. Fill the 5 litre bottle completely then fill the 3 litre bottle with the filled 5 litre bottle.
2. Now the 5 litre bottle has 2 litres of liquid.
3. Pour the 2 litres of liquid into another bottle.
4. Repeat 1 & 2 to get another 2 litres of liquid.
5. Then at the end you would have 4 litres of liquid in total
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Keorapetse
Fill the 5 litre bottle with water until its full, then pour the water from the 5 litre into the 3 litre bottle until its full transfer the remaining water in the 5 litre into another container(that will be 2 liters). Empty the bottles and repeat the process again, what will remain again in the 5 litre bottle will be 2 litres and it to the first and they will make 4 litres
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Ali Tabatabaeian Nimavardi
To measure exactly 4 litres of water using a 3-litre bottle and a 5-litre bottle, follow these steps:
Fill the 5-litre bottle completely.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. Now, you have 2 litres left in the 5-litre bottle (since 5 - 3 = 2).
Empty the 3-litre bottle. Now the 3-litre bottle is empty, and the 5-litre bottle still has 2 litres of water.
Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle. Now the 3-litre bottle has 2 litres of water, and the 5-litre bottle is empty.
Fill the 5-litre bottle completely again. You now have 5 litres of water in the 5-litre bottle and 2 litres in the 3-litre bottle.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. Since the 3-litre bottle already has 2 litres of water, you can only add 1 litre more to fill it.
After filling the 3-litre bottle, you will have exactly 4 litres of water remaining in the 5-litre bottle.
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Just pour 1 liter from 5 liter bottle into 3 liter bottle you end up with 2 4 liter bottles.
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you would fill the 5 litre bottle full of water and then pour the water into the 3 litre bottle until it reaches the top, the amount of water left in the 5 litre bottle would be 2 litres, you would then do this process again to gain a total of 4 litres of water
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Fill the 5-litre bottle completely.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full.
This leaves you with 2 litres in the 5-litre bottle.
Empty the 3-litre bottle.
Transfer the 2 litres from the 5-litre bottle to the 3-litre bottle.
Fill the 5-litre bottle again.
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full.
Since the 3-litre bottle already contains 2 litres, you can only add 1 litre from the 5-litre bottle, leaving exactly 4 litres in the 5-litre bottle
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To measure exactly 4 litres of water using a 3-litre bottle and a 5-litre bottle, follow these steps:
Fill the 5-litre bottle completely. (Now you have 5 litres in the 5-litre bottle and 0 litres in the 3-litre bottle.)
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. This will leave you with 2 litres of water in the 5-litre bottle. (Now you have 2 litres in the 5-litre bottle and 3 litres in the 3-litre bottle.)
Empty the 3-litre bottle. (Now you have 2 litres in the 5-litre bottle and 0 litres in the 3-litre bottle.)
Pour the remaining 2 litres from the 5-litre bottle into the 3-litre bottle. (Now you have 0 litres in the 5-litre bottle and 2 litres in the 3-litre bottle.)
Fill the 5-litre bottle again completely. (Now you have 5 litres in the 5-litre bottle and 2 litres in the 3-litre bottle.)
Pour water from the 5-litre bottle into the 3-litre bottle until the 3-litre bottle is full. Since the 3-litre bottle already has 2 litres, you can only add 1 more litre to fill it up. This will leave you with exactly 4 litres of water in the 5-litre bottle. (Now you have 4 litres in the 5-litre bottle and 3 litres in the 3-litre bottle.)
And there you have it! You now have exactly 4 litres of water in the 5-litre bottle.
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